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A New Analytical Method for Solving Linear and Nonlinear Fractional Partial Differential Equations |
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PP: 247-256 |
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doi:10.18576/pfda/020402
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Author(s) |
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Shehu Maitama,
Ibrahim Abdullahi,
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Abstract |
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| In this paper, a new analytical method called the Natural Homotopy Perturbation Method (NHPM) for solving linear and
the nonlinear fractional partial differential equation is introduced. The proposed analytical method is an elegant combination of a wellknown
method, Homotopy Perturbation Method (HPM) and the Natural Transform Method (NTM). In this new analytical method, the
fractional derivative is computed in Caputo sense and the nonlinear terms are calculated using He’s polynomials. Exact solution of
linear and nonlinear fractional partial differential equations are successfully obtained using the new analytical method, and the result is
compared with the result of the existing methods. |
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